Construct a rhombus whose side is of length 3.4 cm and one of its angles is 45°.


Steps of Construction:


(i)Draw a line segment AB of length 3.4 cm.



(ii) At A, draw XAB = 45°.



(iii) With A as centre, draw an arc of radius 3.4 cm to intersect AX at D.



(iv)With D and B as centre, draw arcs of radius 3.4 cm to intersect each other at C. Join CD, BC.



Thus, the required rhombus is ABCD.


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